Analysis of three-body charmed meson decays
Jing Ou-Yang, Run-Hui Li, and Si-Hong Zhou
Phys. Rev. D 112, 056005 (2025) - Published 9 September, 2025
We systematically analyze the decays , where represents a vector resonance (, , or ), and denotes the final-state meson pairs , , and . The intermediate subprocesses are calculated in the factorization-assisted topological-amplitude approach, while the intermediate resonant states are modeled using a relativistic Breit-Wigner distribution, subsequently decaying into through strong interactions. We predict the off-shell effects of the ground-state resonances () in . Our results show that the virtual contributions from , , and are crucial for these three-body decays, . In particular, the branching fractions arising from the and virtual effects can be comparable to the total decay rates of and , respectively. Decays with branching fractions of order are expected to be measurable at Belle II and LHCb. Compared with previous perturbative QCD predictions for , our results are consistent but exhibit higher precision.